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Finding the Third Proportional to 200,944 and 273,643

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Solution

The third proportional to 200,944 and 273,643 is: 372,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,944 : 273,643 = 273,643 : x
  2. Step 2: Convert to fraction form
    200,944/273,643 = 273,643/x
  3. Step 3: Cross multiply
    200,944x = 273,643 × 273,643
  4. Step 4: Simplify right side
    200,944x = 74,880,491,449
  5. Step 5: Solve for x
    x = 74,880,491,449/200,944
  6. Step 6: Final answer
    x = 372,643.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.